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A summary of two stocks is shown.

\begin{tabular}{|l|l|l|l|l|l|l|}
\hline 52W high & 52W low & Name of Stock & Symbol & High & Low & Close \\
\hline 37.18 & 29.39 & Zycodec & ZYO & 39.06 & 32.73 & 34.95 \\
\hline 11.76 & 7.89 & Unix Co & UNX & 16.12 & 12.11 & 15.78 \\
\hline
\end{tabular}

Last year, a stockholder purchased 40 shares of Zycodec at its lowest price of the year and purchased 95 shares of Unix at its highest price of the year. If the stockholder sold all shares of both stocks at their respective closing prices, what was the overall gain or loss?

A. The overall loss is [tex]$\$[/tex] 604.30[tex]$.
B. The overall gain is $[/tex]\[tex]$ 604.30$[/tex].
C. The overall loss is [tex]$\$[/tex] 660.35[tex]$.
D. The overall gain is $[/tex]\[tex]$ 660.35$[/tex].


Sagot :

Let's break down the problem step-by-step to determine the overall gain or loss for the stockholder.

### Prices and Shares
- Zycodec (ZYO) Stock:
- Lowest price of the year: \[tex]$29.39 - Closing price: \$[/tex]34.95
- Shares purchased: 40

- Unix Co (UNX) Stock:
- Highest price of the year: \[tex]$16.12 - Closing price: \$[/tex]15.78
- Shares purchased: 95

### Zycodec Calculations

1. Purchase Cost for Zycodec:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Lowest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 40 \times 29.39 = \$1175.60 \][/tex]

2. Sale Income for Zycodec:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 40 \times 34.95 = \$1398.00 \][/tex]

### Unix Calculations

3. Purchase Cost for Unix:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Highest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 95 \times 16.12 = \$1531.40 \][/tex]

4. Sale Income for Unix:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 95 \times 15.78 = \$1499.10 \][/tex]

### Overall Gain or Loss

5. Total Purchase Cost:
[tex]\[ \text{Total Purchase Cost} = \text{Zycodec Purchase Cost} + \text{Unix Purchase Cost} \][/tex]
[tex]\[ \text{Total Purchase Cost} = 1175.60 + 1531.40 = \$2707.00 \][/tex]

6. Total Sale Income:
[tex]\[ \text{Total Sale Income} = \text{Zycodec Sale Income} + \text{Unix Sale Income} \][/tex]
[tex]\[ \text{Total Sale Income} = 1398.00 + 1499.10 = \$2897.10 \][/tex]

7. Overall Gain or Loss:
[tex]\[ \text{Overall Gain or Loss} = \text{Total Sale Income} - \text{Total Purchase Cost} \][/tex]
[tex]\[ \text{Overall Gain or Loss} = 2897.10 - 2707.00 = \$190.10 \][/tex]

Since the result is positive, the stockholder made an overall gain.

### Conclusion

The overall gain is \[tex]$190.10. So, none of the given options (\$[/tex]604.30 nor \[tex]$660.35) match the calculated result. Thus, the closest correct selection isn't provided but the correct overall gain is $[/tex]\[tex]$190.10$[/tex].